Search a number
-
+
2232566928 = 243331473547
BaseRepresentation
bin1000010100010010…
…0100010010010000
312202120222011002000
42011010210102100
514033014120203
61005311354000
7106216335324
oct20504442220
95676864060
102232566928
11a46253639
12523822900
132976c4b27
14172717984
15d10014a3
hex85124490

2232566928 has 160 divisors (see below), whose sum is σ = 6757662720. Its totient is φ = 704661120.

The previous prime is 2232566927. The next prime is 2232566977. The reversal of 2232566928 is 8296652322.

It is a super-3 number, since 3×22325669283 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2232566927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 627651 + ... + 631197.

It is an arithmetic number, because the mean of its divisors is an integer number (42235392).

Almost surely, 22232566928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2232566928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378831360).

2232566928 is an abundant number, since it is smaller than the sum of its proper divisors (4525095792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2232566928 is a wasteful number, since it uses less digits than its factorization.

2232566928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642 (or 3630 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2232566928 is about 47250.0468571196. The cubic root of 2232566928 is about 1306.9776541246.

It can be divided in two parts, 22325 and 66928, that added together give a triangular number (89253 = T422).

The spelling of 2232566928 in words is "two billion, two hundred thirty-two million, five hundred sixty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 47 48 54 62 72 93 94 108 124 141 144 186 188 216 248 279 282 372 376 423 432 496 558 564 744 752 837 846 1116 1128 1269 1457 1488 1674 1692 2232 2256 2538 2914 3348 3384 3547 4371 4464 5076 5828 6696 6768 7094 8742 10152 10641 11656 13113 13392 14188 17484 20304 21282 23312 26226 28376 31923 34968 39339 42564 52452 56752 63846 69936 78678 85128 95769 104904 109957 127692 157356 166709 170256 191538 209808 219914 255384 314712 329871 333418 383076 439828 500127 510768 629424 659742 666836 766152 879656 989613 1000254 1319484 1333672 1500381 1532304 1759312 1979226 2000508 2638968 2667344 2968839 3000762 3958452 4001016 4501143 5167979 5277936 5937678 6001524 7916904 8002032 9002286 10335958 11875356 12003048 15503937 15833808 18004572 20671916 23750712 24006096 31007874 36009144 41343832 46511811 47501424 62015748 72018288 82687664 93023622 124031496 139535433 186047244 248062992 279070866 372094488 558141732 744188976 1116283464 2232566928